2581954560 has 384 divisors, whose sum is σ = 9569158560. Its totient is φ = 641728512.

The previous prime is 2581954559. The next prime is 2581954561. The reversal of 2581954560 is 654591852.

2581954560 is a `hidden beast` number, since 2 + 5 + 8 + 195 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2581954559) and next prime (2581954561).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581954561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25067469 + ... + 25067571.

Almost surely, 2^2581954560 is an apocalyptic number.

2581954560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784579280).

2581954560 is an abundant number, since it is smaller than the sum of its proper divisors (6987204000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2581954560 is a wasteful number, since it uses less digits than its factorization.

2581954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2581954560 is about 50812.9369353908. The cubic root of 2581954560 is about 1371.8802321879.

The spelling of 2581954560 in words is "two billion, five hundred eighty-one million, nine hundred fifty-four thousand, five hundred sixty".